Multiplying Two Digit by One Digit Numbers with Regrouping: Representational Level

More Teaching Plans on this topic: Concrete, Abstract

Introduction

Multiplication fact families
Understanding that multiplication is repeated addition
Grouping of ones and tens
Multiplying tens
Multiplying two digit by one digit numbers without regrouping
Use of place value mats and materials
Identification of factors and product in a multiplication problem,
Multiplying two digit by one digit numbers with regrouping using concrete objects

1.) Solve two digits by one digit multiplication problems with regrouping using drawings to show the process of repeated addition.

2.) Solve two digits by one digit multiplication problems with regrouping by using drawings to show how numbers are regrouped.

3.) Solve two digits by one digit multiplication problems with regrouping by using drawings to illustrate the algorithmic process.

1.) In this teaching plan there are three objectives. The first objective (1) provides a transition from using concrete objects to using representations of these objects and emphasizes the process of repeated addition that was used in the concrete lesson. The second objective (2) introduces the concept of the algorithmic process while emphasizing the regrouping step. The third objective (3) continues using the DRAW strategy with the algorithmic process and provides a transitional stage for moving students to the abstract level. It is important that students progress through all four phases of the teaching plan for Objective 1 PRIOR to starting activities outlined under Objective 2. Again, students should progress through all four phases of the teaching plan to fully master Objective 2 before moving to Objective 3.

2.) Use story problems to provide context

3.) Color cue marks for ones and tens

4.) This lesson is based on the premise that students have had prior experience with using the DRAW strategy and FIND Strategy to solve mathematical problems. If they have not, then some additional teaching on the reason and use of strategies will be needed

5.) Provide cue sheets of DRAW strategy and FIND strategy and fade use as appropriate.

6.) This teaching plan is written for the skill of two digits by one digit multiplication with regrouping. Following the same sequence of steps as outlined below, students would have had previous experience with using base ten materials and place value mats to complete multiplication problems involving multiplying tens by 1 digit and 2 digit by 1 digit numbers without regrouping.

7.) This teaching plan outlines the steps for teaching two digits by one digit multiplication with regrouping. If additional instruction at the concrete level is needed for problems involving multiplying three digit numbers by one digit or two digit factors, the same sequence of steps as outlined in this plan can be followed.